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Finding the Third Proportional to 541,725.75 and 724,740.75

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Solution

The third proportional to 541,725.75 and 724,740.75 is: 969,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,725.75 : 724,740.75 = 724,740.75 : x
  2. Step 2: Convert to fraction form
    541,725.75/724,740.75 = 724,740.75/x
  3. Step 3: Cross multiply
    541,725.75x = 724,740.75 × 724,740.75
  4. Step 4: Simplify right side
    541,725.75x = 525,249,154,710.56
  5. Step 5: Solve for x
    x = 525,249,154,710.56/541,725.75
  6. Step 6: Final answer
    x = 969,584.99

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.